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Finding the Fourth Proportional to 2,920.02, 4,380.02 and 1,460.20

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Solution

The fourth proportional to 2,920.02, 4,380.02 and 1,460.20 is: 2,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.02 : 4,380.02 = 1,460.20 : x
  2. Step 2: Convert to fraction form
    2,920.02/4,380.02 = 1,460.20/x
  3. Step 3: Cross multiply
    2,920.02x = 4,380.02 × 1,460.20
  4. Step 4: Simplify right side
    2,920.02x = 6,395,705.20
  5. Step 5: Solve for x
    x = 6,395,705.20/2,920.02
  6. Step 6: Final answer
    x = 2,190.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.